For me, the article was aggravating to comprehend. I couldn't quite grasp the concept of dissonance and Festinger's experiment's fully. He seemed to jump around the page with his thoughts which made reading the article a bit annoying. From what I have gathered, cognitive dissonance is much like a obsessive hoarder may encounter.
The individual may have been raised in a very clean and respectable household. Now approaching middle age, this person may have developed conflicting beliefs on how to live in a household. A dissonance between knowing what's best and doing what's best for the well being of one's home and health. That individual may have a house full of miscellaneous items gathers throughout the living space that restricts normal daily functioning. He or she may not like the clutter but continues to avoid cleaning the space because they're alone, depressed, or has a psychological disorder. In many cases, the task is too overwhelming so the mess remains regardless of personal choice.
This is my take on the article from Leon Festinger "Motivating Effect of Cognitive Dissonance"